Information on Result #680874
Linear OA(4248, 1086, F4, 61) (dual of [1086, 838, 62]-code), using construction X applied to Ce(60) ⊂ Ce(49) based on
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4186, 1024, F4, 50) (dual of [1024, 838, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(422, 62, F4, 10) (dual of [62, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4248, 543, F4, 2, 61) (dual of [(543, 2), 838, 62]-NRT-code) | [i] | OOA Folding | |